Answer: 1 8/9
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Reason:
Both mixed numbers have "1" as the whole part, so we only need to compare the fractional parts to see which mixed number is larger.
To compare fractions, it's helpful to get the denominators to the same LCD value. In this case, the LCD is 8*9 = 72.
- 1/8 = 9/72 ... multiply top and bottom by 9
- 8/9 = 64/72 ... multiply top and bottom by 8
We see that 8/9 is larger since 64 > 9 when comparing the numerators of those second fractions.
In other words,
64 > 9
64/72 > 9/72
8/9 > 1/8
Therefore the mixed number 1 8/9 is bigger.
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Another approach:
Use a calculator to find the decimal value of each fractional part
- 1/8 = 0.125
- 8/9 = 0.889 approximately
We see that 8/9 is bigger which means 1 8/9 is bigger.